135040032 has 36 divisors (see below), whose sum is σ = 384020910. Its totient is φ = 45013248.

The previous prime is 135040021. The next prime is 135040033. The reversal of 135040032 is 230040531.

It can be written as a sum of positive squares in only one way, i.e., 122677776 + 12362256 = 11076^2 + 3516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×135040032² = 36471620485122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 135039987 and 135040014.

It is not an unprimeable number, because it can be changed into a prime (135040033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 234157 + ... + 234732.

Almost surely, 2^135040032 is an apocalyptic number.

135040032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135040032 is an abundant number, since it is smaller than the sum of its proper divisors (248980878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135040032 is a wasteful number, since it uses less digits than its factorization.

135040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468905 (or 468894 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 135040032 is about 11620.6726139239. The cubic root of 135040032 is about 513.0434854785.

Adding to 135040032 its reverse (230040531), we get a palindrome (365080563).

The spelling of 135040032 in words is "one hundred thirty-five million, forty thousand, thirty-two".